A (x_(1),y_(1)), B (x_(1)y_(2))और C (x_(3),y_(3))एक DeltaABCके शीर्ष हैं। (i) A से खींची गई माध्...

The points A (x_(1),y_(1)), B (x_(2),y_(2)) and C (x_(3),y_(3)) are the vertices of Delta ABC . What are coordinate of the centroid of the triangle ABC ?

If A (x_(1), y_(1)), B (x_(2), y_(2)) and C (x_(3), y_(3)) are vertices of an equilateral triangle whose each side is equal to a, then prove that |(x_(1),y_(1),2),(x_(2),y_(2),2),(x_(3),y_(3),2)| is equal to

A(x_(1),y_(1)) , B(x_(2),y_(2)) , C(x_(3),y_(3)) are the vertices of a triangle then the equation |[x,y,1],[x_(1),y_(1),1],[x_(2),y_(2),1]| + |[x,y,1],[x_(1),y_(1),1],[x_(3),y_(3),1]| =0 represents

A(x_(1),y_(1))B(x_(2),y_(2)) and C(x_(3),y_(3)) are the vertices and a,b and c are the sides BC,CA and AB of the triangle ABC respectively then the Coordinates of in centre are I=

If x_(1),x_(2),x_(3) as well as y_(1),y_(2),y_(3) are in GP with the same common ratio,then the points (x_(1),y_(1)),(x_(2),y_(2)), and (x_(3),y_(3)). lie on a straight line lie on an ellipse lie on a circle (d) are the vertices of a triangle.

If A(x_(1),y_(1)),B(x_(2),y_(2)) and C(x_(3),y_(3)) are the vertices of a triangle then excentre with respect to B is

If |{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|=|{:(a_(1),b_(1),1),(a_(2),b_(2),1),(a_(3),b_(3),1):}| , then the two triangles with vertices (x_(1),y_(1)) , (x_(2),y_(2)) , (x_(3),y_(3)) and (a_(1),b_(1)) , (a_(2),b_(2)) , (a_(3),b_(3)) must be congruent.